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Simplifying 3x2 + 6.77x + 7.2 = 0 Reorder the terms: 7.2 + 6.77x + 3x2 = 0 Solving 7.2 + 6.77x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.4 + 2.256666667x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + 2.256666667x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + 2.256666667x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 2.256666667x + x2 = 0 + -2.4 2.256666667x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 2.256666667x + x2 = -2.4 The x term is 2.256666667x. Take half its coefficient (1.128333334). Square it (1.273136113) and add it to both sides. Add '1.273136113' to each side of the equation. 2.256666667x + 1.273136113 + x2 = -2.4 + 1.273136113 Reorder the terms: 1.273136113 + 2.256666667x + x2 = -2.4 + 1.273136113 Combine like terms: -2.4 + 1.273136113 = -1.126863887 1.273136113 + 2.256666667x + x2 = -1.126863887 Factor a perfect square on the left side: (x + 1.128333334)(x + 1.128333334) = -1.126863887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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